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Number theory Difficulty 4.2 AIME Find the answer United States
Problem:
What is the remainder when 100! is divided by 101?
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Solution
Solution:
Wilson's theorem says that for p a prime, (p−1)!≡−1(modp), so the remainder is 100.
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